A piston pump having a barrel of effective volume 100 cm^3 is used to exhaust a vessel of volume 2.5x10^3 cm. If the initial pressure of the air in the vessel is 1 atm, estimate the reduction in pressure produced by two strokes of the pump, assuming that all processes are reversible and isothermal and that air behaves as an ideal gas. Further, estimate the number of strokes needed to reduce the pressure in the vessel from 1 atm to 0.02 atm.
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